Advertisement

Il Nuovo Cimento A (1965-1970)

, Volume 18, Issue 4, pp 663–674 | Cite as

Equal-time algebra and light-cone commutators

  • M. O. Taha
Article

Summary

We discuss the sum rules of equal-time algebra in a refined form of the infinite-momentum limit and show that they reduce to those obtained from light-cone commutators.

Равновременная алгебра и коммутаторы на световом конусе

Реэюме

Мы обсуждаем правила сумм равновременной алгебры в усоверщенствованной форме в пределе бесконечного импульса. Покаэывается, уто рассматриваемые правила сумм приводятся к правилам сумм, полученным иэ коммутаторов на световом конусе.

Riassunto

Si discutono le regole di somma dell’algebra dei tempi uguali in una forma raffinata del limite dell’impulso infinito e si dimostra che esse si riducono a quelle ottenute dalle relazioni di commutazione del cono luce.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. (1).
    J. M. Cornwall andR. Jackiw:Phys. Rev. D,4, 367 (1971).CrossRefADSGoogle Scholar
  2. (2).
    J. B. Kogut andD. E. Soper:Phys. Rev. D,1, 2901 (1970);J. D. Bjorken, J. B. Kogut andD. E. Soper:Phys. Rev. D,3, 1382 (1971).CrossRefADSGoogle Scholar
  3. (3).
    D. A. Dicus, R. Jackiw andV. L. Teplitz:Phys. Rev. D,4, 1733 (1971).CrossRefADSGoogle Scholar
  4. (4).
    SeeS. L. Adler andR. F. Dashen:Current Algebra (New York, 1968), and references therein.Google Scholar
  5. (5).
    R. Jackiw:Comm. Nucl. Part. Phys.,5, 153 (1971).Google Scholar
  6. (6).
    G. Segré:Phys. Rev. Lett.,26, 796 (1971).CrossRefADSGoogle Scholar
  7. (7).
    See Appendix B of ref. (3).CrossRefADSGoogle Scholar
  8. (8).
    M. O. Taha:Causality and scaling restrictions on the electromagnetic equal-time commutators, Khartoum preprint (1973).Google Scholar
  9. (9).
    G. Calucci, R. Jengo, G. Furlan andC. Rebbi:Phys. Lett.,37 B, 416 (1971).MathSciNetCrossRefADSGoogle Scholar
  10. (10).
    H. Leutwyler andP. Otterson:Theoretical problems in deep inelastic scattering, Bern preprint (1972).Google Scholar
  11. (11).
    J. W. Meyer andH. Suura:Phys. Rev.,160, 1366 (1967).CrossRefADSGoogle Scholar
  12. (12).
    It is shown in ref.(8) that this assumption gives, from the «equal-time» causality sum rules of ref.(11), the «light-cone» causality sum rules of ref. (13).Google Scholar
  13. (13).
    H. Leutwyler andJ. Stern:Phys. Lett.,31 B, 458 (1970).CrossRefADSGoogle Scholar
  14. (16).
    B. Schroer andP. Stichel:Comm. Math. Phys.,3, 258 (1966).MathSciNetCrossRefADSzbMATHGoogle Scholar
  15. (17).
    J. L. Gervais:Phys. Rev.,169, 1365 (1968).CrossRefADSzbMATHGoogle Scholar

Copyright information

© Società Italiana di Fisica 1973

Authors and Affiliations

  • M. O. Taha
    • 1
  1. 1.International Centre for Theoretical PhysicsTrieste

Personalised recommendations